195253188996096 has 2816 divisors, whose sum is σ = 767182848000000. Its totient is φ = 48980787609600.

The previous prime is 195253188996091. The next prime is 195253188996109. The reversal of 195253188996096 is 690699881352591.

195253188996096 is a `hidden beast` number, since 1 + 9 + 52 + 5 + 318 + 89 + 96 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

It is not an unprimeable number, because it can be changed into a prime (195253188996091) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 391288955655 + ... + 391288956153.

Almost surely, 2^{195253188996096} is an apocalyptic number.

195253188996096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 195253188996096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383591424000000).

195253188996096 is an abundant number, since it is smaller than the sum of its proper divisors (571929659003904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

195253188996096 is an equidigital number, since it uses as much as digits as its factorization.

195253188996096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 2267481600, while the sum is 81.

The spelling of 195253188996096 in words is "one hundred ninety-five trillion, two hundred fifty-three billion, one hundred eighty-eight million, nine hundred ninety-six thousand, ninety-six".